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c) Consider the following time-domain signal x(t) 2A for -T/2 sts T/2. Assume ()0 otherwise, answer...
Insted of the equation on the pic, use this equation please 5e^-4t 3r x(t)-10e' for t,t...
Insted of the equation on the pic, use this equation
please
5e^-4t
3r x(t)-10e' for t,t 20 Assume 0-0 for I<0. Sketch the signal showing the major points of interest a) Calculate the Continuous Time Fourier Transform of *C b) Calculate the total energy of ( c) Using Parseval's theorem, compute the energy spectral density, ESD of"C) d) Sketch the ESD of "showing the major features. e) Using the ESD obtained from c), now calculate the essential bandwidth B Hz...
-l 2. Consider the continuous-time signal: 0 x(t)- 1sts1 0, otherwise Find the Fourier transform X(a)...
-l 2. Consider the continuous-time signal: 0 x(t)- 1sts1 0, otherwise Find the Fourier transform X(a) of x(t). Simplify ths expression as much as po e simplest expression does not involve any complex numbers.) Draw a rough plot of o) as a function of w. Identify the peak value of X(w). Identify the location of the X( first null on either side of the vertical axis.
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Tr...
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
Problem 2 Consider a continuous-time signal x(t), of which the Fourier transform is ( 21f #...
Problem 2 Consider a continuous-time signal x(t), of which the Fourier transform is ( 21f # (1)= 1° X(t)e=1218i dt = le 1000 15 1 400 lo otherwise Discrete-time signal x[n] is obtained by sampling x(t) at sampling at every 1 us -i.e., x[n] = xy(10ºn). (a) Write discrete-time Fourier transform of x[n], X (elo). (b) Plot the magnitude and phase response of X (ejm).
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2...
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2 x 103Joules). The signal ra(t) is sampled at a rate of 500 samples/sec to yield its discrete-time counter part (n) (a) Find ti, and hence sketch ra(t). (b) From part (a), plot r(n) and finds its energy (c) Derive an expression for the Fourier transform of a(n), namely X(ew). (d) Plot the magnitude spectrum (1X(e)) and phase spectrum 2(X(e). (e) Consider the signal y(n)...
44. Consider the following passband sinc pulse signal: (t) = 2sind(2x 107t) cos (4.8 × 10-t) (a) ...
Introduction to Wireless Digital Communication
44. Consider the following passband sinc pulse signal: (t) = 2sind(2x 107t) cos (4.8 × 10-t) (a) Determine and plot p()l, where Xpf) is the continuous-time Fourier trans (b) Find the complex baseband equivalent signal a() of p(t). Plot x(f)I, where zp 3.540) where sinc(a)) form of rp(t). Do not forget to label correctly. x(f) is the continuous-time Fourier transform of r(t). Do not forget to label correctly (c) Determine the absolute bandwidth of the...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Problem 5. (Properties of Fourier transform) Consider a continuous time signal x(1) with the following Fourier...
Problem 5. (Properties of Fourier transform) Consider a continuous time signal x(1) with the following Fourier transform: X(jw) = J 1 - if we l-207, 207] if|wl > 207 (3) Let y(t) = x(26) cos? (507). Sketch Y (w), i.e., the Fourier transform of y(t). (Note that 2 1 + cos(20) cos? (0) = 2
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is giv...
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Insted of the equation on the pic, use this equation
please
5e^-4t
3r x(t)-10e' for t,t 20 Assume 0-0 for I<0. Sketch the signal showing the major points of interest a) Calculate the Continuous Time Fourier Transform of *C b) Calculate the total energy of ( c) Using Parseval's theorem, compute the energy spectral density, ESD of"C) d) Sketch the ESD of "showing the major features. e) Using the ESD obtained from c), now calculate the essential bandwidth B Hz...
-l 2. Consider the continuous-time signal: 0 x(t)- 1sts1 0, otherwise Find the Fourier transform X(a) of x(t). Simplify ths expression as much as po e simplest expression does not involve any complex numbers.) Draw a rough plot of o) as a function of w. Identify the peak value of X(w). Identify the location of the X( first null on either side of the vertical axis.
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
QUESTION 1 Consider the time domain signal shown below. Determine the magnitude of the Fourier Transform, X(w), at a frequency of ω : 22 rad/sec, for a-3, b = 2, and c=2 be" for te[0,c] x(t)-| 0 forte(0,c]
Problem 2 Consider a continuous-time signal x(t), of which the Fourier transform is ( 21f # (1)= 1° X(t)e=1218i dt = le 1000 15 1 400 lo otherwise Discrete-time signal x[n] is obtained by sampling x(t) at sampling at every 1 us -i.e., x[n] = xy(10ºn). (a) Write discrete-time Fourier transform of x[n], X (elo). (b) Plot the magnitude and phase response of X (ejm).
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2 x 103Joules). The signal ra(t) is sampled at a rate of 500 samples/sec to yield its discrete-time counter part (n) (a) Find ti, and hence sketch ra(t). (b) From part (a), plot r(n) and finds its energy (c) Derive an expression for the Fourier transform of a(n), namely X(ew). (d) Plot the magnitude spectrum (1X(e)) and phase spectrum 2(X(e). (e) Consider the signal y(n)...
Introduction to Wireless Digital Communication
44. Consider the following passband sinc pulse signal: (t) = 2sind(2x 107t) cos (4.8 × 10-t) (a) Determine and plot p()l, where Xpf) is the continuous-time Fourier trans (b) Find the complex baseband equivalent signal a() of p(t). Plot x(f)I, where zp 3.540) where sinc(a)) form of rp(t). Do not forget to label correctly. x(f) is the continuous-time Fourier transform of r(t). Do not forget to label correctly (c) Determine the absolute bandwidth of the...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Problem 5. (Properties of Fourier transform) Consider a continuous time signal x(1) with the following Fourier transform: X(jw) = J 1 - if we l-207, 207] if|wl > 207 (3) Let y(t) = x(26) cos? (507). Sketch Y (w), i.e., the Fourier transform of y(t). (Note that 2 1 + cos(20) cos? (0) = 2
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
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